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Finding the Third Proportional to 13,764.50 and 30,057.01

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Solution

The third proportional to 13,764.50 and 30,057.01 is: 65,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.50 : 30,057.01 = 30,057.01 : x
  2. Step 2: Convert to fraction form
    13,764.50/30,057.01 = 30,057.01/x
  3. Step 3: Cross multiply
    13,764.50x = 30,057.01 × 30,057.01
  4. Step 4: Simplify right side
    13,764.50x = 903,423,953.46
  5. Step 5: Solve for x
    x = 903,423,953.46/13,764.50
  6. Step 6: Final answer
    x = 65,634.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.